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3 years ago

7

Directions: Post your answer to this question in your Unit 8: Journal 1.

1 answer:

aleksandrvk [35]3 years ago

3 0

Answer:

Tan(∠A) is 4/3.

Step-by-step explanation:

To answer this question, we first need a basic understanding of sin, cos, and tan. The sin of an angle is the opposite over hypotenuse, the cos is adjacent over hypotenuse, and the tan is the opposite over adjancent.

Since sin(∠A) is 4/7, that makes 4 the opposite and 7 the hypotenuse.

Since cos(∠A) is 3/7, that makes 3 the adjacent the 7 the hypotenuse again.

So to get tan(∠A), we just have to put 4/3 since that is the opposite over the adjacent.

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Answer:

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Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Red ball

Event B: From box A.

Probability of a red ball:

3/10 = 0.3 of 1/2 = 0.5(box A)

6/10 = 0.6 of 1/2 = 0.5(box B). So

$P(A) = 0.3*0.5 + 0.6*0.5 = 0.45$

Probability of a red ball from box A:

0.3 of 0.5, so:

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